Harichandran, R. S., and Naja, M. (1993). "Non-linear random vibration
of laminated composite plates." Proceedings, 9th Annual ASM/ESD Advanced
Composites Conference, Dearborn, Michigan, 277-287.
Abstract
Structural components in space vehicles, aircraft, automobiles,
submarines, etc., that are made of filamentary composite laminae are
usually subjected to stochastic loads. Composite laminae have strongly
anisotropic properties and display significantly non-linear behavior
when loaded in shear or along directions different from those of the
filaments. While such components have been used for over a decade, their
design has predominantly been performed using deterministic methods. In
this paper, the method of equivalent linearization is used in
conjunction with the finite element method to perform non-linear random
vibration analysis of laminated composite plates. An approximate, but
sufficiently accurate, series representation of the non-linear shear
stress-strain law is used to facilitate the formulation. Classical
plate theory that accounts for the coupling between extensional and
bending responses is used, but higher-order shear deformation effects
are not considered at this stage. Four-noded elements with five
degrees-of-freedom per node are used to discretize the plate.